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165352836496 = 2427723672
BaseRepresentation
bin1001100111111111001…
…1000000110110010000
3120210210201112102020111
42121333303000312100
510202120311231441
6203543445051104
714642411630341
oct2317763006620
9523721472214
10165352836496
1164142402481
12280683b6a94
13127922357b3
1480087c00c8
15447b88d081
hex267fcc0d90

165352836496 has 45 divisors (see below), whose sum is σ = 322410366369. Its totient is φ = 82153484352.

The previous prime is 165352836469. The next prime is 165352836541. The reversal of 165352836496 is 694638253561.

The square root of 165352836496 is 406636.

It is a perfect power (a square), and thus also a powerful number.

165352836496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28500192400 + 136852644096 = 168820^2 + 369936^2 .

It is a Duffinian number.

Its product of digits (27993600) is a multiple of the sum of its prime factors (1296).

It is a self number, because there is not a number n which added to its sum of digits gives 165352836496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 450552505 + ... + 450552871.

Almost surely, 2165352836496 is an apocalyptic number.

165352836496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

165352836496 is the 406636-th square number.

It is an amenable number.

165352836496 is a deficient number, since it is larger than the sum of its proper divisors (157057529873).

165352836496 is an frugal number, since it uses more digits than its factorization.

165352836496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 646 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 58.

The spelling of 165352836496 in words is "one hundred sixty-five billion, three hundred fifty-two million, eight hundred thirty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 277 367 554 734 1108 1468 2216 2936 4432 5872 76729 101659 134689 153458 203318 269378 306916 406636 538756 613832 813272 1077512 1227664 1626544 2155024 28159543 37308853 56319086 74617706 112638172 149235412 225276344 298470824 450552688 596941648 10334552281 20669104562 41338209124 82676418248 165352836496